Outer Length of Hollow Cuboid Given Inner Length, Outer and Inner Breadth Calculator

Formula Used:

\[ l_{Outer} = l_{Inner} + (b_{Outer} - b_{Inner}) \]

Inner Length of Hollow Cuboid (l_Inner):

Outer Breadth of Hollow Cuboid (b_Outer):

Inner Breadth of Hollow Cuboid (b_Inner):

Outer Length of Hollow Cuboid (l_Outer):

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1. What is Outer Length of Hollow Cuboid?

The Outer Length of Hollow Cuboid is the length of the outer cuboidal surface or the longer edge length of the base rectangular face of the outer surface of the Hollow Cuboid. It represents the maximum dimension along the length axis of the outer structure.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ l_{Outer} = l_{Inner} + (b_{Outer} - b_{Inner}) \]

Where:

\( l_{Outer} \) — Outer Length of Hollow Cuboid (m)
\( l_{Inner} \) — Inner Length of Hollow Cuboid (m)
\( b_{Outer} \) — Outer Breadth of Hollow Cuboid (m)
\( b_{Inner} \) — Inner Breadth of Hollow Cuboid (m)

Explanation: This formula calculates the outer length by adding the inner length to the difference between outer and inner breadths, accounting for the uniform thickness of the hollow cuboid structure.

3. Importance of Outer Length Calculation

Details: Calculating the outer length is essential for determining the overall dimensions of hollow cuboidal structures, which is crucial in engineering design, manufacturing, construction, and material estimation for various applications.

4. Using the Calculator

Tips: Enter all dimensions in meters. Ensure that the outer breadth is greater than or equal to the inner breadth to get a valid result. All values must be non-negative.

5. Frequently Asked Questions (FAQ)

Q1: What is a hollow cuboid?
A: A hollow cuboid is a three-dimensional geometric shape with six rectangular faces where the inner part is hollow, creating a uniform thickness throughout the structure.

Q2: When is this formula applicable?
A: This formula is applicable when you know the inner length and both inner and outer breadths of a hollow cuboid with uniform thickness.

Q3: What if the outer breadth is less than inner breadth?
A: The formula would still work mathematically, but physically this would represent an impossible scenario where the inner dimension is larger than the outer dimension.

Q4: Can this formula be used for other shapes?
A: No, this specific formula is designed for hollow cuboids with uniform thickness. Different formulas apply to other geometric shapes.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise based on the input values. The accuracy in practical applications depends on the precision of the measured input dimensions.